Question

Let $z=(x+y)e^y$ with $x=7t$ and $y=1-t^2$. Find $\frac{dz}{dt}$ as a function of $t$.

score 747 · Answer 1 · 2026-03-30 05:26:53

747

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Let $z=(x+y)e^y$ with $x=7t$ and $y=1-t^2$. Find $\frac{dz}{dt}$ as a function of $t$.

Published on 30 Mar 2026 - 5:26

score 202 · Answer 2 · 2026-03-30 05:26:55

202

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Consider $w=2x+y^2z$ with $x=p\cos\theta\sin\phi$, $y=p\sin\theta\cos\phi$, $z=p\cos\theta$.

Published on 30 Mar 2026 - 5:26

score 81 · Answer 3 · 2026-03-30 05:28:17

81

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The temperature of a metal plate is given by $f(x,y)=\frac{150}{\sqrt{x^2+y^2+1}}$. Find the R.O.C of the temperature at the point $(8,4)$...

Published on 30 Mar 2026 - 5:28

score 477 · Answer 4 · 2020-06-13 10:56:33

477

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how do you read partial derivative notation, from left to right or from right to left?

Published on 13 Jun 2020 - 10:56

score 26 · Answer 5 · 2020-06-13 14:14:53

26

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What's the partial derivative of $\partial _j h(a)=\partial_j(a)$?

Published on 13 Jun 2020 - 14:14

score 583 · Answer 6 · 2020-06-14 12:19:08

583

Views

Finding minimum and maximum value of 3D function

Published on 14 Jun 2020 - 12:19

score 162 · Answer 7 · 2020-06-15 20:22:16

162

Views

Derivation of pressure using partition function

Published on 15 Jun 2020 - 20:22

score 372 · Answer 8 · 2026-03-29 20:49:46

372

Views

Bounded partial derivatives on convex set implies uniform continuity

Published on 29 Mar 2026 - 20:49

score 80 · Answer 9 · 2020-06-16 12:42:32

80

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Show that $\frac{d}{dx}\int_0^xf(x,y)dy = f(x,x) + \int_0^x \frac{\partial f}{\partial x}(x,y)dy$

Published on 16 Jun 2020 - 12:42

score 47 · Answer 10 · 2026-03-30 05:31:37

47

Views

Why is this reasoning wrong?

Published on 30 Mar 2026 - 5:31

score 34 · Answer 11 · 2026-04-03 08:54:21

34

Views

Extract derivative from 2-dimensional function

Published on 03 Apr 2026 - 8:54

score 39 · Answer 12 · 2026-03-30 05:30:30

39

Views

Finding extreme values using chain rule in multivariate function

Published on 30 Mar 2026 - 5:30

score 33 · Answer 13 · 2020-06-17 03:49:36

33

Views

Looking for a Counterxample: Is a multivariate convex function decreasing "above" its point of maximum?

Published on 17 Jun 2020 - 3:49

score 52 · Answer 14 · 2026-03-29 19:29:15

52

Views

Terms in the sum

Published on 29 Mar 2026 - 19:29

score 178 · Answer 15 · 2020-06-17 17:52:00

178

Views

Partial derivatives igual zero implies $f(x,y)$ constant

Published on 17 Jun 2020 - 17:52

List Question

Let $z=(x+y)e^y$ with $x=7t$ and $y=1-t^2$. Find $\frac{dz}{dt}$ as a function of $t$.

Consider $w=2x+y^2z$ with $x=p\cos\theta\sin\phi$, $y=p\sin\theta\cos\phi$, $z=p\cos\theta$.

The temperature of a metal plate is given by $f(x,y)=\frac{150}{\sqrt{x^2+y^2+1}}$. Find the R.O.C of the temperature at the point $(8,4)$...

how do you read partial derivative notation, from left to right or from right to left?

What's the partial derivative of $\partial _j h(a)=\partial_j(a)$?

Finding minimum and maximum value of 3D function

Derivation of pressure using partition function

Bounded partial derivatives on convex set implies uniform continuity

Show that $\frac{d}{dx}\int_0^xf(x,y)dy = f(x,x) + \int_0^x \frac{\partial f}{\partial x}(x,y)dy$

Why is this reasoning wrong?

Extract derivative from 2-dimensional function

Finding extreme values using chain rule in multivariate function

Looking for a Counterxample: Is a multivariate convex function decreasing "above" its point of maximum?

Terms in the sum

Partial derivatives igual zero implies $f(x,y)$ constant

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